Study of the adsorption of interacting dimers on square lattices by using a cluster-exact approximation

Self-organization of monodentate organic molecules on a solid surface — A Monte Carlo and transfer-matrix study

“…Further, the dimers on the surface undergo the self-assembly process directing by repulsive interactions w 2 , w 3 . Note that the behavior of these dimerized forms is similar to the phase behavior of the classical dimers with isotropic repulsive nearest-neighbor interactions on a square lattice [35][36][37].…”

Adsorption of a Multicomponent Mixture of Gases with Multisite Occupancy

“…The most interesting feature is observed for repulsive lateral interactions; in fact, dimer isotherms present two well-defined steps at θ 2 = 1/2 and θ 2 = 2/3. At θ 2 = 0.5, dimers are forming a perfect c (2 × 4) ordered phase, , characterized by a repetition of alternating files of adsorbed dimers separated by two empty sites (see Figure a). This array of dimers resembled a c (2 × 2) phase for monatomic adsorption, where particles are located in the lattices forming a chessboard-like array.…”

“…Despite the difficulty in the treatment of the multisite adsorption, several contributions have been made in the past to solve the problem. − An exact solution of the statistical thermodynamics for large molecules adsorbed in a one-dimensional lattice has been reported in ref ; however, extension to a higher dimension is rather difficult, even in the simplest noninteracting dimer adsorption. In fact, Langmuir isotherms, which depend on the connectivity of the lattice, do not have an exact expression in two or more dimensions.…”

Sequential desorption of dimers from square lattices: A novel mechanism for phase transitions

“…The adsorption of dimers on different lattices has already been treated in the past [24][25][26][27][32][33][34][35][36][37][38][39][40]. Here we describe the main characteristics of the ordered structures.…”

“…The statistical aspect of molecules with multisite occupation is by now well understood [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. In fact, among other results, it is well established that, for two-dimensional lattices, there is a finite number of ordered structures for dimers with nearest-neighbor repulsive interaction.…”